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Associativity in combination of belief functions; a derivation of minC combination

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Abstract

 The nature of a contradiction (conflict) between two belief functions is investigated. Alternative ways of distributing the contradiction among nonempty subsets of frame of discernment are studied. The paper employes a new approach to understanding contradictions and introduces an original notion of potential contradiction. A method of an associative combination of generalized belief functions – minC combination and its derivation – is presented as part of the new approach. A proportionalization of generalized results is suggested as well.

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ID="*" Support by Grant No. 1030803 of the GA AV ČR is acknowledged.

I am grateful to Philippe Smets for a fruitful discussion on the topic.

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Daniel, M. Associativity in combination of belief functions; a derivation of minC combination. Soft Computing 7, 288–296 (2003). https://doi.org/10.1007/s00500-002-0215-5

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  • DOI: https://doi.org/10.1007/s00500-002-0215-5